Avramov-Martsinkovsky type exact sequences for extriangulated categories-Reference-Cited by-同舟云学术

Avramov-Martsinkovsky type exact sequences for extriangulated categories

Published:2022 Issue:10 Volume:36 Page:3405-3421
ISSN:0354-5180
Container-title:Filomat
language:en
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Author:

Hu Jiangsheng¹,Zhang Dongdong²,Zhao Tiwei³,Zhou Panyue⁴

Affiliation:

1. School of Mathematics and Physics, Jiangsu University of Technology, Changzhou, China

2. Department of Mathematics, Zhejiang Normal University, Jinhua, China

3. School of Mathematical Sciences, Qufu Normal University, Qufu, China

4. School of Mathematics and Statistics, Changsha University of Science and Technology, Changsha, China

Abstract

Let (C,E, s) be an extriangulated category with a proper class ? of E-triangles. In this paper, we first introduce the ?-Gorenstein cohomology in terms of ?-Gprojective resolutions and ?-Ginjective coresolutions, respectively, and then we get the balance of ?-Gorenstein cohomology. Moreover, we study the interplay among ?-cohomology, ?-Gorenstein cohomology and ?-complete cohomology, and obtain the Avramov-Martsinkovsky type exact sequences in this setting.

Publisher

National Library of Serbia

Subject

General Mathematics

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